Least Common Multiple (LCM) of 188 and 150
The least common multiple (LCM) of 188 and 150 is 14100.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 188 and 150?
First, calculate the GCD of 188 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 150 = 1 remainder 38 |
| 2 | 150 ÷ 38 = 3 remainder 36 |
| 3 | 38 ÷ 36 = 1 remainder 2 |
| 4 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 90 | 6390 |
| 120 and 163 | 19560 |
| 107 and 114 | 12198 |
| 97 and 119 | 11543 |
| 195 and 63 | 4095 |